3 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AP2024★ 1 cited
Dynamics of Elastic Wires: Preserving Area without Nonlocality
Leonie Langer
We derive an -gradient flow of the elastic energy which preserves the enclosed area of evolving planar curves. For this new sixth-order evolution equation, we prove a globa…
math.AP2023★ 1 cited
Conservation, convergence, and computation for evolving heterogeneous elastic wires
Anna Dall'Acqua, Gaspard Jankowiak, Leonie Langer +1
The elastic energy of a bending-resistant interface depends both on its geometry and its material composition. We consider such a heterogeneous interface in the plane, modeled by a…
math.AP2022★ 3 cited
A dynamic approach to heterogeneous elastic wires
Anna Dall'Acqua, Leonie Langer, Fabian Rupp
We consider closed planar curves with fixed length and arbitrary winding number whose elastic energy depends on an additional density variable and a spontaneous curvature. Working…